Some integral identities for spherical harmonics in an arbitrary dimension

DOI10.1007/s10910-011-9956-7zbMath1359.81175OpenAlexW2115623848MaRDI QIDQ714684

Hao Zheng, Weimin Han, Kendall E. Atkinson

Publication date: 11 October 2012

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-011-9956-7

zbMATH Keywords

spherical harmonicsintegral identityFunk-Hecke formula

Mathematics Subject Classification ID

Atomic physics (81V45) Spherical harmonics (33C55)

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Uses Software

• Sturmian

Cites Work

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• Analysis of spherical symmetries in Euclidean spaces
• The generalized Sturmian method for calculating spectra of atoms and ions
• Hyperspherical harmonics with arbitrary arguments
• The Numerical Solution of Integral Equations of the Second Kind
• Entropic integrals of hyperspherical harmonics and spatial entropy of D-dimensional central potentials